Pith Number

pith:A6P2EAMC

pith:2014:A6P2EAMCNUW5EFFL3ASEWCQ2DW

not attested not anchored not stored refs pending

Liouville Quantum Gravity on the Riemann sphere

Antti Kupiainen, Fran\c{c}ois David, R\'emi Rhodes, Vincent Vargas

arxiv:1410.7318 v4 · 2014-10-27 · math.PR · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A6P2EAMCNUW5EFFL3ASEWCQ2DW}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

M\"obius randomness in the Hartle-Hawking state

Receipt and verification

First computed	2026-05-18T01:55:59.881509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

079fa201826d2dd214abd8244b0a1a1d84bd1b7b9f50f3e721c867f32e1bdd8e

Aliases

arxiv: 1410.7318 · arxiv_version: 1410.7318v4 · doi: 10.48550/arxiv.1410.7318 · pith_short_12: A6P2EAMCNUW5 · pith_short_16: A6P2EAMCNUW5EFFL · pith_short_8: A6P2EAMC

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/A6P2EAMCNUW5EFFL3ASEWCQ2DW \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 079fa201826d2dd214abd8244b0a1a1d84bd1b7b9f50f3e721c867f32e1bdd8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7ccb87edf0e1087ac37f2e6900fe1cc6558e45d1ebd8af1d9a358773e3fc05c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-10-27T17:14:03Z",
    "title_canon_sha256": "f71512983e581a0cd413ee8c07fdba5b48b618069e324649c858749d9756445f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.7318",
    "kind": "arxiv",
    "version": 4
  }
}